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Finding the Fourth Proportional to 13,597.66, 20,392.76 and 3,734.60

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Solution

The fourth proportional to 13,597.66, 20,392.76 and 3,734.60 is: 5,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.66 : 20,392.76 = 3,734.60 : x
  2. Step 2: Convert to fraction form
    13,597.66/20,392.76 = 3,734.60/x
  3. Step 3: Cross multiply
    13,597.66x = 20,392.76 × 3,734.60
  4. Step 4: Simplify right side
    13,597.66x = 76,158,801.50
  5. Step 5: Solve for x
    x = 76,158,801.50/13,597.66
  6. Step 6: Final answer
    x = 5,600.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.